First you have to save the track to your sd card, this is not automatically done. You can do this while you are recording by tapping on the "GPX" button and choosing "Save current GPX track" or by tapping the "Save" button of the trip recording notification. For saving the track after recording it go to plugins -> Trip recording -> Settings -> Save current GPX track. The same menu is also available via Settings -> Trip recording -> Save current GPX track.

The saved GPX track is then stored in your OsmAnd data folder. In my specific case (I'm using the external sd card for OsmAnd) the saved tracks are located under /storage/<SD-Card-ID>/Android/data/net.osmand.plus/files/tracks/rec/.

Excellent! I don't have an SD card but was able to find the files under
/storage/emulated/0/Android/data/net.osmand.plus/files/tracks/rec/
I never would have found them without your help.
I did discover that I can "share" a track by email or to my google drive from
My Places-My Tracks-rec and select the "three dot icon" next to the track I want and select "share"